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- W2162892429 abstract "We propose a new class of nonlinear mappings, called -monotone mappings, and show that this class of nonlinear mappings contains nonspreading mappings, hybrid mappings, firmly nonexpansive mappings, and -generalized hybrid mappings with . We also give an example to show that a -monotone mapping is not necessary to be a quasi-nonexpansive mapping. We establish an existence theorem of fixed points and the demiclosed principle for the class of -monotone mappings. As a special case of our result, we give an existence theorem of fixed points for -generalized hybrid mappings with . We also consider Mann’s type weak convergence theorem and CQ type strong convergence theorem for -monotone mappings. We give an example of -monotone mappings which assures the Mann’s type weak convergence." @default.
- W2162892429 created "2016-06-24" @default.
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- W2162892429 date "2012-08-07" @default.
- W2162892429 modified "2023-10-18" @default.
- W2162892429 title "Fixed point theorems of ( a , b ) -monotone mappings in Hilbert spaces" @default.
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- W2162892429 doi "https://doi.org/10.1186/1687-1812-2012-131" @default.
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